Answer:
(a) 47.08°
(b) 47.50°
Explanation:
Angle of incidence = 78.9°
<u>For blue light :
</u>
Using Snell's law as:
Where,
Θ₁ is the angle of incidence
Θ₂ is the angle of refraction
n₂ is the refractive index for blue light which is 1.340
n₁ is the refractive index of air which is 1
So,
Angle of refraction for blue light = sin⁻¹ 0.7323 = 47.08°.
<u>For red light :
</u>
Using Snell's law as:
Where,
Θ₁ is the angle of incidence
Θ₂ is the angle of refraction
n₂ is the refractive index for red light which is 1.331
n₁ is the refractive index of air which is 1
So,
Angle of refraction for red light = sin⁻¹ 0.7373 = 47.50°.
Answer:
Explanation:
Path difference for the observer = 2.04μm
For constructive interference
path difference = n λ
2.04μm = 5 x .408 or , 4 x .51 or 3 x .68μm
For visible wavelengths like .408 , .51 or .68 μm (400 to 700 nm) will the observer see the brightest light due to constructive interference.
B) If the two sources were not in line with the observer, but were still arranged so that one source is 2.04μm farther away from the observer than the other , in that case also , interference pattern will be visible .
c )
For destructive interference
2.04 μm = (2n+1)λ / 2
2.04μm = 3.5 x .58μm
2.04 μm = 4.5 x .45μm
So for .58μm and .45μm , destructive interference will take place